Pseudoconvex function information

variations, both branches of mathematics, a pseudoconvex function is a function that behaves like a convex function with respect to finding its local minima...

theory of functions of several complex variables, a pseudoconvex set is a special type of open set in the n-dimensional complex space Cn. Pseudoconvex sets...

inequality Logarithmically convex function Pseudoconvex function Quasiconvex function Subderivative of a convex function "Lecture Notes 2" (PDF). www.stat...

quasiconvex function that is neither convex nor continuous. Convex function Concave function Logarithmically concave function Pseudoconvexity in the sense...

constant. In several complex variables, plurisubharmonic functions are used to describe pseudoconvex domains, domains of holomorphy and Stein manifolds. The...

subharmonic function looks like a kind of convex function, so it was named by Levi as a pseudoconvex domain (Hartogs's pseudoconvexity). Pseudoconvex domain...

E-invex functions were introduced by Abdulaleem as a generalization of differentiable convex functions. Convex function Pseudoconvex function Quasiconvex...

leads to the notion of pseudoconvexity. Cauchy–Riemann equations Holomorphic function Paley–Wiener theorem Quasi-analytic function Infinite compositions...

method Convex analysis — function f such that f(tx + (1 − t)y) ≥ tf(x) + (1 − t)f(y) for t ∈ [0,1] Pseudoconvex function — function f such that ∇f · (y −...

strongly pseudoconvex manifold. The latter means that it has a strongly pseudoconvex (or plurisubharmonic) exhaustive function, i.e. a smooth real function ψ...

problem. Behnke–Stein theorem Levi pseudoconvex solution of the Levi problem Stein manifold Steven G. Krantz. Function Theory of Several Complex Variables...

and only if it is (strictly) pseudoconvex as a CR manifold from the side of the domain. (See plurisubharmonic functions and Stein manifold.) An abstract...

converges almost surely to a global minimum when the objective function is convex or pseudoconvex, and otherwise converges almost surely to a local minimum...

theorem Holomorphically convex hull Integrally-convex set John ellipsoid Pseudoconvexity Radon's theorem Shapley–Folkman lemma Symmetric set Morris, Carla C...

under Joseph Kohn with thesis Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains. He is a professor at Purdue University. He solved...

and the plurisubharmonic functions. Geometrically, these classes of functions correspond to convex domains and pseudoconvex domains, but there are also...

study of the asymptotics of the Bergman kernel off the boundaries of pseudoconvex domains in C n {\displaystyle \mathbb {C} ^{n}} . He has studied mathematical...

a special case. In the theory of functions of several complex variables he introduced the concept of pseudoconvexity during his investigations on the...

her Ph.D. in 1993. Her doctoral dissertation, Hardy Spaces on Strongly Pseudoconvex Domains in C n {\displaystyle C^{n}} and Domains of Finite Type in C...

the ∂ ¯ {\displaystyle {\overline {\partial }}} -Neumann problem in pseudoconvex domains of finite type in C {\displaystyle \mathbb {C} } 2 ". Acta Mathematica...

of Mathematics (2000) Hirachi constructed CR invariants of strongly pseudoconvex boundaries via a deep study of the logarithmic singularity of the Bergman...

Kohn, following earlier work by Kohn, studied the ∂-Neumann problem on pseudoconvex domains, and demonstrated the relation of the regularity theory to the...

1990 he was an Invited Speaker with talk Some recent results on weakly pseudoconvex domains at the ICM in Kyōto. He was a senior member of the Institut Universitaire...